Number of integer compositions of n whose maximal runs of k's all have length > k, for all k.

Terms

a(0) =1a(1) =0a(2) =1a(3) =1a(4) =1a(5) =1a(6) =2a(7) =1a(8) =4a(9) =3a(10) =7a(11) =7a(12) =13a(13) =13a(14) =22a(15) =25a(16) =36a(17) =44a(18) =66a(19) =77a(20) =120a(21) =147a(22) =213a(23) =277a(24) =389a(25) =502a(26) =707a(27) =913a(28) =1269a(29) =1664